Back to search

The Algorithmic Beauty of Plants

Data up to Jan 2025

Published1990
Citations2,802
References95

Total Citations Per Year

Abstract

References (95)

The Fractal Geometry of Nature

1983 • 22,064 citations

Graph theory

1969 • 11,244 citations

The chemical basis of morphogenesis

1952 • 11,233 citations

On Computable Numbers, with an Application to the Entscheidungsproblem

1937 • 7,411 citations

Theory of Self-Reproducing Automata

1967 • 5,575 citations

On Growth and Form

1917 • 4,330 citations

Fractals Everywhere

1988 • 3,682 citations

HYPSOMETRIC (AREA-ALTITUDE) ANALYSIS OF EROSIONAL TOPOGRAPHY

1952 • 3,308 citations

Three models for the description of language

1956 • 2,696 citations

Structural stability and morphogenesis

1976 • 2,342 citations

Three approaches to the quantitative definition of information*

1968 • 2,060 citations

Fundamentals of interactive computer graphics

1982 • 1,898 citations

Models of biological pattern formation

1982 • 1,851 citations

Introduction to Geometry

1969 • 1,582 citations

Formal Languages

1973 • 1,541 citations

Tropical Trees and Forests. An Architectural Analysis.

1980 • 1,349 citations

Plant growth analysis

1978 • 920 citations

Plant Growth Curves: The Functional Approach to Plant Growth Analysis

1982 • 910 citations

Using prototypical objects to implement shared behavior in object-oriented systems

1986 • 558 citations

Report on the algorithmic language ALGOL 60

1960 • 489 citations

Developmental systems and languages

1975 • 443 citations

An introduction to embryology

1965 • 429 citations

Approximate and probabilistic algorithms for shading and rendering structured particle systems

1985 • 407 citations

Plant models faithful to botanical structure and development

1988 • 403 citations

Evolution in the Myrtaceae--evidence from inflorescence structure

1979 • 326 citations

The syntax and semantics of the proposed international algebraic language of the Zurich ACM-GAMM Conference.

1959 • 320 citations

The synthesis and rendering of eroded fractal terrains

1989 • 317 citations

A better way to construct the sunflower head

1979 • 316 citations

Two Families of Languages Related to ALGOL

1962 • 291 citations

Recurrent Iterated Function Systems

1989 • 284 citations

Real time design and animation of fractal plants and trees

1986 • 280 citations

Description of the form of trees by the parameters of the tree-like body: Effects of the branching angle and the branch length on the shape of the tree-like body

1971 • 277 citations

Botanical Tree Image Generation

1984 • 269 citations

Modeling the mighty maple

1985 • 259 citations

Patterns in Nature

1974 • 254 citations

Development models of herbaceous plants for computer imagery purposes

1988 • 249 citations

Graphical applications of L-systems

1986 • 240 citations

Trees and Networks in Biological Models.

1984 • 187 citations

Tree Branch Angle: Maximizing Effective Leaf Area

1978 • 185 citations

The beta-spline: a local representation based on shape parameters and fundamental geometric measures

1981 • 173 citations

Computer Software in Science and Mathematics

1984 • 140 citations

Une méthode géométrique élémentaire pour l’étude de certaines questions de la théorie des courbes planes

1906 • 139 citations

Voxel space automata: modeling with stochastic growth processes in voxel space

1989 • 133 citations

Typology of inflorescences

1965 • 130 citations

May we introduce to you: Hyperedge replacement

1987 • 125 citations

Manipulation and Presentation of Multidimensional Image Data Using the Peano Scan

1983 • 121 citations

Development of dorsoventral polarity and mesentoblast determination in Patella vulgata

1977 • 109 citations

Computer Simulation of Biological Pattern Generation Processes

1967 • 102 citations

BRANCH GEOMETRY AND EFFECTIVE LEAF AREA: A STUDY OF TERMINAUA‐BRANCHING PATTERN. 1. THEORETICAL TREES

1979 • 91 citations

CYBERNETICS AND DEVELOPMENT

1966 • 89 citations

COMPUTER SIMULATION OF BRANCH INTERACTION AND REGULATION BY UNEQUAL FLOW RATES IN BOTANICAL TREES

1981 • 84 citations

Combinatorial analysis of ramified patterns and computer imagery of trees

1989 • 80 citations

Diffusion Mechanism for Phyllotaxis

1977 • 80 citations

Introduction to discrete structures

1985 • 79 citations

Packing efficiency in sunflower heads

1982 • 74 citations

Numerical Solution of Ordinary Differential Equations

1987 • 66 citations

Adding continuous components to L-systems

1974 • 65 citations

Parallel generation of maps: Developmental systems for cell layers

2005 • 64 citations

Computer Simulation of Branching Pattern and Geometry in Terminalia (Combretaceae), a Tropical Tree

1977 • 64 citations

Models for plant tissue development with cell division orientation regulated by preprophase bands of microtubules

1984 • 61 citations

A model study on biomorphological description

1974 • 59 citations

Applications of L-systems to computer imagery

1987 • 57 citations

Visualization of botanical structures and processes using parametric L-systems

1990 • 51 citations

A model for the growth and flowering of aster novae-angliae on the basis of table <1,0> L-systems

1974 • 50 citations

Space-filling curves and infinite graphs

2005 • 49 citations

Crown architecture of Larix laricina saplings: sylleptic branching on the main stem

1985 • 47 citations

The Role of intermediate convergents in Tait's explanation for phyllotaxis

1972 • 46 citations

Score Generation with L-Systems

1986 • 45 citations

Two Geometrical Models of Branching of Botanical Trees

1982 • 44 citations

Growth functions of stochastic Lindenmayer systems

1980 • 44 citations

Ratio of tree branch lengths: The equitable distribution of leaf clusters on branches

1979 • 43 citations

Rendering Methods for Iterated Function Systems

1991 • 41 citations

Microtubules and Cytomorphogenesis in a Developing Organ: The Root Primordium of Azolla pinnata

1981 • 40 citations

MODELS FOR THE CONTROL OF BRANCH POSITIONS AND FLOWERING SEQUENCES OF CAPITULA IN MYCELIS MURALIS (L.) DUMONT (COMPOSITAE)

1987 • 39 citations

Developmental Models of Multicellular Organisms: A Computer Graphics Perspective.

1987 • 38 citations

Some Systems for Map Generation

1986 • 37 citations

Principles of Simulation of Inflorescence Development

1978 • 36 citations

On context-free graph languages generated by edge replacement

2005 • 32 citations

On the diffusion theory of phyllotaxis

1978 • 31 citations

Koch curves as attractors and repellers

1988 • 28 citations

PHYLLOTAXIS IN BRYOPHYLLUM TUBIFLORUM: MORPHOGENETIC STUDIES AND COMPUTER SIMULATIONS

1974 • 25 citations

Morphologie der Blüten und der Blütenstände

1981 • 25 citations

Stochastic characterizations of E0L languages

1980 • 25 citations

An introduction to parallel map generating systems

1987 • 25 citations

Description of developmental languages using recurrence systems

1974 • 25 citations

Computer simulation of contact pressure in capitula

1982 • 20 citations

The concept and design of a virtual laboratory

1990 • 19 citations

Cell division patterns: Syntactical description and implementation

1982 • 18 citations

A mathematical investigation of propagating graph 0L systems

1979 • 17 citations

Generation of 3-dimensional plant bodies by double wall map and stereomap systems

2005 • 11 citations

Rendering and magnification of fractals using iterated function systems

1987 • 9 citations

A NOTATION FOR THE GROWTH OF INFLORESCENCES

1986 • 8 citations

Rosenfeld's Cycle Grammars and Kolam

1987 • 8 citations

APPLICATION OF L-SYSTEMS TO ALGORITHMIC GENERATION OF SOUTH INDIAN FOLK ART PATTERNS AND KARNATIC MUSIC

1989 • 7 citations

Représentation et simulation de croissance des végétaux

1987 • 7 citations

Cited By (0)

Loading...